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Probability & Probability Scale

Free Printable Probability & Probability Scale PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 2)

Download free probability & probability scale worksheets (PDF), GCSE maths past paper questions and worked solutions for Probability & Probability Scale (2N). This is a Grade 2 probability topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Dr Austin, Maths4EveryOne, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our probability & probability scale revision notes and worked examples with diagrams, try real GCSE past paper probability & probability scale questions with step-by-step solutions, or download a PDF of all probability & probability scale worksheet links.

Free Probability & Probability Scale PDF Worksheets & Answers

Grade 2 • Topic 2N
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Textbook Exercise & answers
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GCSE 9–1 practice booklet & solutions
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GCSE topic booklet & answers
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PMT (Edxl)
Edexcel GCSE topic questions & solutions
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PMT (AQA)
AQA GCSE topic questions & solutions
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PMT (IGCSE)
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Self-marking online worksheet
 Page
Grade 2 topics
2A - Calculation problems2B - Using a calculator
2C - Systematic listing2D - Fraction of an amount
2E - FDP2F - Simplifying algebra
2G - Writing an expression2H - Function machines
2J - Solving one step equations2K - Angles
2L - Area and perimeter2M - Reading scales
2N - Probability & Probability Scale2P - Frequency polygons
2Q - Unitary method2R - Bar charts
2S - Pie charts2T - Averages
2U - Stem and leaf diagrams
GCSE Maths Grade 2 Revision Notes & Method

Guide to Probability & Probability Scale: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

Probability measures how likely an event is on a scale from 0 (impossible) to 1 (certain), with 0.5 or 12 (even chance) in the middle. Always write probabilities as fractions, decimals, or percentages — never as ratios or words like “3 out of 10”.

For equally likely outcomes, P(event) = successful outcomestotal possible outcomes. Because all mutually exclusive outcomes add up to 1, the probability that an event does not happen is P(not A) = 1 − P(A).

0 1/4 (0.25) 1/2 (0.5) 3/4 (0.75) 1 Impossible Unlikely Even chance Likely Certain

Example 1: A bag has 5 red, 3 blue, and 4 green counters. One is picked at random. Find: (a) P(blue)  (b) P(not red)  (c) P(yellow)

Total = 5 + 3 + 4 = 12 counters:
(a) P(blue) = 312 = 14   (b) P(not red) = 712
(c) No yellow counters → P(yellow) = 0

Example 2: In chess, P(Sam wins) = 0.45 and P(draw) = 0.20. Work out P(Sam loses).

• All mutually exclusive outcomes sum to 1:
• P(win or draw) = 0.45 + 0.20 = 0.65
• P(lose) = 1 − 0.65 = 0.35
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Probability & Probability Scale Questions & Answers

Past Paper Example 1 GCSE Jun 2025 3F Q7 2 marks
Full Paper (PDF) • Mark Scheme (PDF)
Tom has a fair ordinary dice.
He rolls the dice once.
(a) On the probability scale below, mark with a cross (×) the probability that Tom gets the number 2 [1 mark]
0½1
(b) On the probability scale below, mark with a cross (×) the probability that Tom gets a number greater than 4 [1 mark]
0½1
Worked Solution & Mark Scheme (2 marks)
Part (a) Solution:
P(2) = 1/6 (first division on the scale) B1
0½1
Answer (a): Mark at 1/6
Part (b) Solution:
Numbers greater than 4 are 5 and 6 ⇒ P(>4) = 2/6 = 1/3 (second division on the scale) B1
0½1
Answer (b): Mark at 2/6 (1/3)
Past Paper Example 2 IGCSE Jan 2021 1F Q2 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
Sandeep is designing some 3-sided spinners.
He is going to spin each spinner once.
(a) Write a different number on each dotted line so that when the spinner is spun it is **impossible** that the spinner will land on a number greater than 9 [1 mark]
Write a different number on each dotted line so that when the spinner is spun it is **certain** that the spinner will land on a multiple of 10 [1 mark]
(b) On the probability scale, mark with a cross (×) the probability of this outcome. [1 mark]
00.51
Worked Solution & Mark Scheme (3 marks)
Part (a) Solution:
Numbers ≤ 9 B1
123
Answer (a): Three different numbers ≤ 9 (e.g. 1, 2, 3)
Part Solution:
Multiples of 10 B1
102030
Answer : Three different multiples of 10 (e.g. 10, 20, 30)
Part (b) Solution:
Evens = 0.5 B1
Answer (b): Cross marked at 0.5
Past Paper Example 3 GCSE Nov 2018 3F Q6 2 marks
Full Paper (PDF) • Mark Scheme (PDF)
An ordinary fair dice is thrown once.
(a) On the probability scale below, mark with a cross (×) the probability that the dice lands on an odd number. [1 mark]
0112
(b) Write down the probability that the dice lands on a number greater than 4 [1 mark]
Worked Solution & Mark Scheme (2 marks)
Part (a) Solution:
3 odd numbers out of 6 = 1/2 B1
0112
Answer (a): Cross marked at 1/2
Part (b) Solution:
5 and 6 → 2/6 B1
Answer (b): 26

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